102101012211 has 32 divisors (see below), whose sum is σ = 155152869120. Its totient is φ = 59154032000.

The previous prime is 102101012203. The next prime is 102101012239. The reversal of 102101012211 is 112210101201.

It is a cyclic number.

It is not a de Polignac number, because 102101012211 - 2³ = 102101012203 is a prime.

It is a super-2 number, since 2×102101012211² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102101013211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431505 + ... + 624818.

It is an arithmetic number, because the mean of its divisors is an integer number (4848527160).

Almost surely, 2^102101012211 is an apocalyptic number.

102101012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102101012211 is a deficient number, since it is larger than the sum of its proper divisors (53051856909).

102101012211 is a wasteful number, since it uses less digits than its factorization.

102101012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056467.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101012211 its reverse (112210101201), we get a palindrome (214311113412).

The spelling of 102101012211 in words is "one hundred two billion, one hundred one million, twelve thousand, two hundred eleven".